General boundedness theorems to some second order nonlinear differential equation with integrable forcing term
1995 ◽
Vol 18
(4)
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pp. 823-824
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Keyword(s):
In this note we present a boundedness theorem to the equationx″+c(t,x,x′)+a(t)b(x)=e(t)wheree(t)is a continuous absolutely integrable function over the nonnegative real line. We then extend the result to the equationx″+c(t,x,x′)+a(t,x)=e(t). The first theorem provides the motivation for the second theorem. Also, an example illustrating the theory is then given.
1999 ◽
Vol 22
(3)
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pp. 569-571
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2011 ◽
Vol 24
(4)
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pp. 524-527
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1977 ◽
Vol 57
(2)
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pp. 273-289
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2009 ◽
Vol 33
(1-2)
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pp. 137-153
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